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Finding the Fourth Proportional to 295,974, 408,453.84 and 161,838

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Solution

The fourth proportional to 295,974, 408,453.84 and 161,838 is: 223,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,974 : 408,453.84 = 161,838 : x
  2. Step 2: Convert to fraction form
    295,974/408,453.84 = 161,838/x
  3. Step 3: Cross multiply
    295,974x = 408,453.84 × 161,838
  4. Step 4: Simplify right side
    295,974x = 66,103,352,557.92
  5. Step 5: Solve for x
    x = 66,103,352,557.92/295,974
  6. Step 6: Final answer
    x = 223,341.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.